Question
For matrix dimensions p = {10, 20, 30, 40}, representing
matrices A (10x20), B (20x30), C (30x40). What is the minimum number of scalar multiplications required to compute (AB)C?Solution
(Calculation: (A(BC)) = 20*30*40 + 10*20*40 = 24000 + 8000 = 32000. ((AB)C) = 10*20*30 + 10*30*40 = 6000 + 12000 = 18000. Minimum is 18000.)
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